105 · 21793519 - 1

At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important PrimePages database: a collection of research, records and results all about prime numbers. This page summarizes our information about one of these primes.

Description:105 · 21793519 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L1959 : Metcalfe, PSieve, Srsieve, Rieselprime, LLR
Decimal Digits:539906   (log10 is 539905.03798257)
Rank (*):2615 (digit rank is 1)
Entrance Rank (*):673
Currently on list? (*):yes
Submitted:5/3/2014 03:06:21 CDT
Last modified:5/3/2014 05:22:11 CDT
Database id:117773
Status Flags:TrialDiv
Score (*):44.7409 (normalized score 1.6464)

Verification data:

The Top 5000 Primes is a list for proven primes only. In order to maintain the integrity of this list, we seek to verify the primality of all submissions.  We are currently unable to check all proofs (ECPP, KP, ...), but we will at least trial divide and PRP check every entry before it is included in the list.
fieldvalue
prime_id117773
person_id9
machineDitto P4 P4
whatprime
notesCommand: /home/ditto/client/llr.pl 105*2^1793519-1 2>&1 Starting Lucas Lehmer Riesel prime test of 105*2^1793519-1 Using Irrational Base DWT : Mersenne fftlen = 98304, Used fftlen = 114688 V1 = 11 ; Computing U0... V1 = 11 ; Computing U0...done. Starting Lucas-Lehmer loop... 105*2^1793519-1 is prime! Time : 7277.829 sec. [Elapsed time: 2.02 hours]
modified2020-07-07 17:30:17
created2014-05-03 03:08:02
id163319

Query times: 0.0019 seconds to select prime, 0.0006 seconds to seek comments.
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